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Finding the Fourth Proportional to 8,460, 11,673.18 and 5,475.42

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Solution

The fourth proportional to 8,460, 11,673.18 and 5,475.42 is: 7,555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 11,673.18 = 5,475.42 : x
  2. Step 2: Convert to fraction form
    8,460/11,673.18 = 5,475.42/x
  3. Step 3: Cross multiply
    8,460x = 11,673.18 × 5,475.42
  4. Step 4: Simplify right side
    8,460x = 63,915,563.24
  5. Step 5: Solve for x
    x = 63,915,563.24/8,460
  6. Step 6: Final answer
    x = 7,555.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.